Univalence and holomorphic extension of the solution to ω-controlled Loewner-Kufarev equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Amaba, Takafumi¹  Friedrich, Roland²  Murayama, Takuya^3,4 

[1] Fukuoka Univ, Jonan Ku, 8-19-1 Nanakuma, Fukuoka 8140180, Japan

[2] Swiss Fed Inst Technol, Recht Okon & Datenwiss, CH-8092 Zurich, Switzerland

[3] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

[4] Japan Soc Promot Sci, Tokyo, Japan

关键词: Controlled Loewner-Kufarev equation;    Control function;    Univalence;    Holomorphic extension;   

DOI  :  10.1016/j.jde.2020.02.011

来源: Elsevier

【 摘 要 】

We prove that a solution to the omega-controlled Loewner-Kufarev equation, which was introduced by the first two authors, exists uniquely, is univalent and starlike on the unit disk and can be extended holomorphically across the unit circle. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free